The Titchmarsh Theorem

1978 ◽  
pp. 201-210
Author(s):  
Jan Mikusiński
Keyword(s):  
Titchmarsh Theorem

The Brun-Titchmarsh Theorem on average

1996 ◽  
pp. 39-103 ◽  
Author(s):  
R. C. Baker ◽  
G. Harman
Keyword(s):  
Titchmarsh Theorem

scholarly journals Short Kloosterman Sums for Polynomials over Finite Fields

2003 ◽  
Vol 55 (2) ◽  
pp. 225-246 ◽  
Author(s):  
William D. Banks ◽  
Asma Harcharras ◽  
Igor E. Shparlinski
Keyword(s):  
Finite Field ◽  
Finite Fields ◽  
Small Degree ◽  
Kloosterman Sums ◽  
Degree Relative ◽  
Irreducible Polynomials ◽  
Arbitrary Polynomial ◽  
Polynomials Over Finite Fields ◽  
Titchmarsh Theorem

AbstractWe extend to the setting of polynomials over a finite field certain estimates for short Kloosterman sums originally due to Karatsuba. Our estimates are then used to establish some uniformity of distribution results in the ring [x]/M(x) for collections of polynomials either of the form f−1g−1 or of the form f−1g−1 + afg, where f and g are polynomials coprime to M and of very small degree relative to M, and a is an arbitrary polynomial. We also give estimates for short Kloosterman sums where the summation runs over products of two irreducible polynomials of small degree. It is likely that this result can be used to give an improvement of the Brun-Titchmarsh theorem for polynomials over finite fields.

Mikusiński Operators Without the Titchmarsh Theorem

1980 ◽  
Vol 87 (7) ◽  
pp. 564-567
Author(s):  
M. A. Golberg ◽  
H. Bowman
Keyword(s):  
Titchmarsh Theorem

Generalization of Titchmarsh theorem in the deformed Hankel setting

2021 ◽  
Author(s):  
Abdelghani Elgargati ◽  
El Mehdi Loualid ◽  
Radouan Daher
Keyword(s):  
Titchmarsh Theorem

scholarly journals AN EXTENSION TO THE BRUN-TITCHMARSH THEOREM

2010 ◽  
Vol 62 (2) ◽  
pp. 307-322 ◽  
Author(s):  
T. H. Chan ◽  
S. K.-K. Choi ◽  
K. M. Tsang
Keyword(s):  
Titchmarsh Theorem
Sign in / Sign up

Export Citation Format

Share Document